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# Y and H transforms

In mathematics, the transforms and transforms are complementary pairs of integral transforms involving, respectively, the Neumann function (Bessel function of the second kind) of order and the Struve function of the same order. [1]

## Axial symmetry

Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis.

## Bateman Manuscript Project

The Bateman Manuscript Project was a major effort at collation and encyclopedic compilation of the mathematical theory of special functions.

## Bessel function

Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are canonical solutions of Bessel's differential equation x^2 \frac + x \frac + \left(x^2 - \alpha^2 \right)y.

## Hankel transform

In mathematics, the Hankel transform expresses any given function f(r) as the weighted sum of an infinite number of Bessel functions of the first kind. Y and H transforms and Hankel transform are integral transforms.

## Integral transform

In mathematics, an integral transform is a type of transform that maps a function from its original function space into another function space via integration, where some of the properties of the original function might be more easily characterized and manipulated than in the original function space. Y and H transforms and integral transform are integral transforms.

## Struve function

In mathematics, the Struve functions, are solutions of the non-homogeneous Bessel's differential equation: introduced by.